399106478400 has 336 divisors, whose sum is σ = 1528304848896. Its totient is φ = 89283041280.

The previous prime is 399106478371. The next prime is 399106478417. The reversal of 399106478400 is 4874601993.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×399106478400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1452837 + ... + 1705563.

It is an arithmetic number, because the mean of its divisors is an integer number (4548526336).

Almost surely, 2^399106478400 is an apocalyptic number.

399106478400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399106478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764152424448).

399106478400 is an abundant number, since it is smaller than the sum of its proper divisors (1129198370496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

399106478400 is a wasteful number, since it uses less digits than its factorization.

399106478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252806 (or 252791 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 399106478400 in words is "three hundred ninety-nine billion, one hundred six million, four hundred seventy-eight thousand, four hundred".